Least Common Multiple of 293/40, 985/5343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 293/40, 985/5343 quickly i.e. 288605 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 293/40, 985/5343 is 288605.

LCM(293/40, 985/5343) = 288605

LCM of 293/40, 985/5343

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 293/40,985/5343

Given numbers are 293/40,985/5343

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 293,985

Least Common Multiple of Numerators i.e. LCM of 293,985 is 288605.

GCF of Denominators means GCF of 40,5343 as per the given fractions.

GCF of 40,5343 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 293,985

LCM of Fractions 293/40,985/5343 is 288605

Given numbers has no common factors except 1. So, there LCM is their product i.e 288605

Least Common Multiple of 293,985 with GCF Formula

Least Common Multiple of 293,985 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 293,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(293,985) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(293,985) x common factors =1 x 1 = 1

LCM(293,985) = ( 293 × 985 ) / 1

LCM(293,985) = 288605 / 1

LCM(293,985) = 288605


Lets's calculate GCF of 40,5343

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 288605/1

Therefore the LCM of Fractions 293/40,985/5343 is 288605

Greatest Common Factor of 40,5343 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,5343 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 5343

List of positive integer factors of 5343 that divides 5343 without a remainder.

1,3,13,39,137,411,1781,5343

Greatest Common Factor

We found the factors 40,5343 . The biggest common factor number is the GCF number.
So the greatest common factor 40,5343 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 293/40, 985/5343

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 293/40, 985/5343?

Answer: LCM of Numerators as per given numbers 293/40, 985/5343 is

LCM of Numerators i.e. for 293,985 is 288605

GCF of denominators i.e. for 40,5343 is 1.

Thus, LCM of Fractions is 288605.Finally, LCM of Fractions for 293/40, 985/5343 is 288605.